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CANTORI FOR MULTIHARMONIC MAPS

Abstract

We compute all the cantori and their gap and turnstile structures, for area-preserving twist maps near non-degenerate anti-integrable limits with arbitrarily many wells per period. The results imply a rich bifurcation diagram for cantori of families of maps containing degenerate anti-integrable limits. We conjecture the structure of this bifurcation diagram in the case of the two-harmonic family.